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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Cosheaf ： ウィキペディア英語版 Cosheaf In topology, a branch of mathematics, a cosheaf with values in an ∞-category ''C'' that admits colimit is a functor ''F'' from the category of open subsets of a topological space ''X'' (more precisely its nerve) to ''C'' such that *(1) The ''F'' of the empty set is the initial object. *(2) For any increasing sequence $U\_i$ of open subsets with union ''U'', the canonical map $\backslash varinjlim\; F(U\_i)\; \backslash to\; F(U)$ is an equivalence. *(3) $F(U\; \backslash cup\; V)$ is the pushout of $F(U\; \backslash cap\; V)\; \backslash to\; F(U)$ and $F(U\; \backslash cap\; V)\; \backslash to\; F(V)$. The basic example is $U\; \backslash mapsto\; C\_$ *(U; A) where on the right is the singular chain complex of ''U'' with coefficients in an abelian group ''A''. Example:〔http://www.math.harvard.edu/~lurie/282ynotes/LectureIX-NPD.pdf〕 If ''f'' is a continuous map, then $U\; \backslash mapsto\; f^(U)$ is a cosheaf. == See also == *sheaf (mathematics) 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Cosheaf」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.